What is the Greatest Common Factor of 17043 and 17058?

Greatest common factor (GCF) of 17043 and 17058 is 3.

GCF(17043,17058) = 3

We will now calculate the prime factors of 17043 and 17058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17043 and 17058.

How to find the GCF of 17043 and 17058?

We will first find the prime factorization of 17043 and 17058. After we will calculate the factors of 17043 and 17058 and find the biggest common factor number .

Step-1: Prime Factorization of 17043

Prime factors of 17043 are 3, 13, 19, 23. Prime factorization of 17043 in exponential form is:

17043 = 3¹ × 13¹ × 19¹ × 23¹

Step-2: Prime Factorization of 17058

Prime factors of 17058 are 2, 3, 2843. Prime factorization of 17058 in exponential form is:

17058 = 2¹ × 3¹ × 2843¹

Step-3: Factors of 17043

List of positive integer factors of 17043 that divides 17043 without a remainder.

1, 3, 13, 19, 23, 39, 57, 69, 247, 299, 437, 741, 897, 1311, 5681

Step-4: Factors of 17058

List of positive integer factors of 17058 that divides 17043 without a remainder.

1, 2, 3, 6, 2843, 5686, 8529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17043 and 17058. The biggest common factor number is the GCF number.
So the greatest common factor 17043 and 17058 is 3.

Also check out the Least Common Multiple of 17043 and 17058